TSTP Solution File: SWC288+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:27:50 EDT 2022
% Result : Theorem 0.21s 1.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 103 ( 40 equ)
% Maximal formula atoms : 43 ( 6 avg)
% Number of connectives : 120 ( 33 ~; 46 |; 30 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| strictorderedP(X1)
| ( ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| cons(X5,nil) != X3
| app(app(X6,X3),X7) != X4
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X5,X8) )
| ? [X9] :
( ssItem(X9)
& memberP(X7,X9)
& lt(X9,X5) ) ) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| strictorderedP(X1)
| ( ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| cons(X5,nil) != X3
| app(app(X6,X3),X7) != X4
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X5,X8) )
| ? [X9] :
( ssItem(X9)
& memberP(X7,X9)
& lt(X9,X5) ) ) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_4,negated_conjecture,
! [X17,X18] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ~ strictorderedP(esk1_0)
& ( nil = esk4_0
| ssItem(esk5_0) )
& ( nil = esk3_0
| ssItem(esk5_0) )
& ( nil = esk4_0
| ssList(esk6_0) )
& ( nil = esk3_0
| ssList(esk6_0) )
& ( nil = esk4_0
| ssList(esk7_0) )
& ( nil = esk3_0
| ssList(esk7_0) )
& ( nil = esk4_0
| cons(esk5_0,nil) = esk3_0 )
& ( nil = esk3_0
| cons(esk5_0,nil) = esk3_0 )
& ( nil = esk4_0
| app(app(esk6_0,esk3_0),esk7_0) = esk4_0 )
& ( nil = esk3_0
| app(app(esk6_0,esk3_0),esk7_0) = esk4_0 )
& ( nil = esk4_0
| ~ ssItem(X17)
| ~ memberP(esk6_0,X17)
| ~ lt(esk5_0,X17) )
& ( nil = esk3_0
| ~ ssItem(X17)
| ~ memberP(esk6_0,X17)
| ~ lt(esk5_0,X17) )
& ( nil = esk4_0
| ~ ssItem(X18)
| ~ memberP(esk7_0,X18)
| ~ lt(X18,esk5_0) )
& ( nil = esk3_0
| ~ ssItem(X18)
| ~ memberP(esk7_0,X18)
| ~ lt(X18,esk5_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])])])]) ).
fof(c_0_5,plain,
! [X2] :
( ~ ssItem(X2)
| strictorderedP(cons(X2,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
cnf(c_0_6,negated_conjecture,
( cons(esk5_0,nil) = esk3_0
| nil = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( ssItem(esk5_0)
| nil = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( cons(esk5_0,nil) = esk1_0
| nil = esk1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ strictorderedP(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( nil = esk1_0
| ssItem(esk5_0) ),
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_13,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]) ).
cnf(c_0_14,negated_conjecture,
nil = esk1_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]) ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 02:59:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.41 # Preprocessing time : 0.023 s
% 0.21/1.41
% 0.21/1.41 # Proof found!
% 0.21/1.41 # SZS status Theorem
% 0.21/1.41 # SZS output start CNFRefutation
% See solution above
% 0.21/1.41 # Proof object total steps : 16
% 0.21/1.41 # Proof object clause steps : 10
% 0.21/1.41 # Proof object formula steps : 6
% 0.21/1.41 # Proof object conjectures : 10
% 0.21/1.41 # Proof object clause conjectures : 7
% 0.21/1.41 # Proof object formula conjectures : 3
% 0.21/1.41 # Proof object initial clauses used : 6
% 0.21/1.41 # Proof object initial formulas used : 3
% 0.21/1.41 # Proof object generating inferences : 1
% 0.21/1.41 # Proof object simplifying inferences : 7
% 0.21/1.41 # Training examples: 0 positive, 0 negative
% 0.21/1.41 # Parsed axioms : 96
% 0.21/1.41 # Removed by relevancy pruning/SinE : 52
% 0.21/1.41 # Initial clauses : 93
% 0.21/1.41 # Removed in clause preprocessing : 1
% 0.21/1.41 # Initial clauses in saturation : 92
% 0.21/1.41 # Processed clauses : 93
% 0.21/1.41 # ...of these trivial : 2
% 0.21/1.41 # ...subsumed : 1
% 0.21/1.41 # ...remaining for further processing : 90
% 0.21/1.41 # Other redundant clauses eliminated : 5
% 0.21/1.41 # Clauses deleted for lack of memory : 0
% 0.21/1.41 # Backward-subsumed : 0
% 0.21/1.41 # Backward-rewritten : 41
% 0.21/1.41 # Generated clauses : 294
% 0.21/1.41 # ...of the previous two non-trivial : 276
% 0.21/1.41 # Contextual simplify-reflections : 2
% 0.21/1.41 # Paramodulations : 282
% 0.21/1.41 # Factorizations : 0
% 0.21/1.41 # Equation resolutions : 12
% 0.21/1.41 # Current number of processed clauses : 47
% 0.21/1.41 # Positive orientable unit clauses : 7
% 0.21/1.41 # Positive unorientable unit clauses: 0
% 0.21/1.41 # Negative unit clauses : 2
% 0.21/1.41 # Non-unit-clauses : 38
% 0.21/1.41 # Current number of unprocessed clauses: 88
% 0.21/1.41 # ...number of literals in the above : 509
% 0.21/1.41 # Current number of archived formulas : 0
% 0.21/1.41 # Current number of archived clauses : 41
% 0.21/1.41 # Clause-clause subsumption calls (NU) : 954
% 0.21/1.41 # Rec. Clause-clause subsumption calls : 255
% 0.21/1.41 # Non-unit clause-clause subsumptions : 3
% 0.21/1.41 # Unit Clause-clause subsumption calls : 1
% 0.21/1.41 # Rewrite failures with RHS unbound : 0
% 0.21/1.41 # BW rewrite match attempts : 1
% 0.21/1.41 # BW rewrite match successes : 1
% 0.21/1.41 # Condensation attempts : 0
% 0.21/1.41 # Condensation successes : 0
% 0.21/1.41 # Termbank termtop insertions : 12114
% 0.21/1.41
% 0.21/1.41 # -------------------------------------------------
% 0.21/1.41 # User time : 0.041 s
% 0.21/1.41 # System time : 0.005 s
% 0.21/1.41 # Total time : 0.046 s
% 0.21/1.41 # Maximum resident set size: 3492 pages
%------------------------------------------------------------------------------